Perform the operation and write the result in standard form. $( 3 - 2 i ) ^ { 2 }$
A) $5 - 12 i$
B) $5 + 12 i$
C) $- 5 + 12 i$
D) $7 - 12 i$
E) $- 5 - 12 i$

Name: Perform the operation and write the result in standard form. $( 3 - 2 i ) ^ { 2 }$ A) $5 - 12 i$ B) $5 + 12 i$ C) $- 5 + 12 i$ D) $7 - 12 i$ E) $- 5 - 12 i$
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Question

Perform the operation and write the result in standard form. $( 3 - 2 i ) ^ { 2 }$ 
A) $5 - 12 i$
B) $5 + 12 i$
C) $- 5 + 12 i$
D) $7 - 12 i$
E) $- 5 - 12 i$

Quizplus · Accepted Answer

To solve $(3 - 2i)^2$, we expand the expression: $(3 - 2i)(3 - 2i) = 9 - 6i - 6i + 4i^2$. Since $i^2 = -1$, we get $9 - 12i - 4 = 5 - 12i$.

Perform the Operation and Write the Result in Standard Form (3−2i)2( 3 - 2 i ) ^ { 2 }(3−2i)2

Perform the Operation and Write the Result in Standard Form $( 3 - 2 i ) ^ { 2 }$